If 220% of number equals sum of number and 48, then....

[Sarah2391]

If 220 percent of a certain number is equal to the sum of the number and 48, what is the number?

--Please explain how to find the answer in a quick way--

 

[Mrspi]

Re: Help! Percentages

If 220 percent of a certain number is equal to the sum of the number and 48, what is the number?

--Please explain how to find the answer in a quick way--

A "quicker way" than what??

Let x = the "certain number."

220% of this number would be 220% of x, or 2.20x.

The sum of the number and 48 would be x + 48.

220% of the number is equal to the sum of the number and 48....so,

2.20x = x + 48

Solve this for x...and I'm really sorry...I don't know any quicker way to do this.

 

[stapel]

Please explain how to find the answer in a quick way

Are you saying you have "a way" of doing this, but think it's too long? If so, then please reply showing what you've done. If not, then I will guess that you are saying that you don't know how to do this, and are requesting lessons. In that case:

. . . . .Google results for "translate word problem"

. . . . .Google results for "percent word problem"

Once you have studied some lessons (at least two from each link!) and have learned the basic terms and techniques, please attempt the exercise.

If you get (or already are) stuck, or if you are unsure of your steps or solution, please reply showing all of your work and reasoning. Thank you!

Eliz.

 

[Sarah2391]

so what is x?

do you pick your own number? that is where i'm getting confused

 

[stapel]

so what is x?

As the tutor ("Mrs. Pi") explained when she gave you the complete set-up for this exercise, x is the "certain number".

do you pick your own number?

When you are trying to solve for the value of x, why would you pick a value for x? Why not just solve the equation you were given?

Have you not done any word problems or equation-solving before...? :shock: (The reason I ask is because, not only can you make no progress, but you aren't even recognizing when you've been given everything but the last step.)

We'll be glad to try to find web lessons to help you obtain (through self-study) however many months of material you've missed, but you will need to narrow down the area of difficulty. Right now, it looks like we need to start with "what is a variable?", but, since you're in intermediate or advance algebra, you should be entirely familiar with "what x stands for". Naturally, we're a bit confused!

Eliz.